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Mora LA, Ramirez H, Yuz JI, et al. Energy-based fluid-structure model of the vocal folds. IMA J Math Control Inf. 2020;38(2):466-492doi: 10.1093/imamci/dnaa031.
Mora, L. A., Ramirez, H., Yuz, J. I., Le Gorec, Y., & Zañartu, M. (2021). Energy-based fluid-structure model of the vocal folds. IMA journal of mathematical control and information, 38(2), 466-492. https://doi.org/10.1093/imamci/dnaa031
Mora, Luis A, et al. "Energy-based fluid-structure model of the vocal folds." IMA journal of mathematical control and information vol. 38,2 (2021): 466-492. doi: https://doi.org/10.1093/imamci/dnaa031
Mora LA, Ramirez H, Yuz JI, Le Gorec Y, Zañartu M. Energy-based fluid-structure model of the vocal folds. IMA J Math Control Inf. 2020 Dec 08;38(2):466-492. doi: 10.1093/imamci/dnaa031. eCollection 2021 Jun. PMID: 34149312; PMCID: PMC8210679.
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IMA J Math Control Inf. 2020 Dec 08;38(2):466-492. doi: 10.1093/imamci/dnaa031. eCollection 2021 Jun.

Energy-based fluid-structure model of the vocal folds.

IMA journal of mathematical control and information

Luis A Mora, Hector Ramirez, Juan I Yuz, Yann Le Gorec, Matías Zañartu

Affiliations

  1. Department of Electronic Engineering, Universidad Técnica Federico Santa María, 2390123 Valparaiso, Chile.
  2. Département AS2M, FEMTO-ST/ENSMM, Université de Bourgogne Franche-Comté, 25000 Besançon, France.

PMID: 34149312 PMCID: PMC8210679 DOI: 10.1093/imamci/dnaa031

Abstract

Lumped elements models of vocal folds are relevant research tools that can enhance the understanding of the pathophysiology of many voice disorders. In this paper, we use the port-Hamiltonian framework to obtain an energy-based model for the fluid-structure interactions between the vocal folds and the airflow in the glottis. The vocal fold behavior is represented by a three-mass model and the airflow is described as a fluid with irrotational flow. The proposed approach allows to go beyond the usual quasi-steady one-dimensional flow assumption in lumped mass models. The simulation results show that the proposed energy-based model successfully reproduces the oscillations of the vocal folds, including the collision phenomena, and it is useful to analyze the energy exchange between the airflow and the vocal folds.

© The Author(s) 2020. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Keywords: compressible fluids; fluid–structure interactions; lumped-parameter models; port-Hamiltonian systems; vocal folds

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